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3380174074704 = 243773377936467
BaseRepresentation
bin110001001100000010000…
…100110011001101010000
3102222010211010212021210110
4301030002010303031100
5420340044030342304
611104455221201320
7466131602400450
oct61140204631520
912863733767713
103380174074704
111093584164a49
12467125560240
131b69978714ab
14b985bd67d60
155cdd5809289
hex31302133350

3380174074704 has 160 divisors (see below), whose sum is σ = 10119222328320. Its totient is φ = 952256203776.

The previous prime is 3380174074681. The next prime is 3380174074729. The reversal of 3380174074704 is 4074704710833.

It is a super-2 number, since 2×33801740747042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92673079 + ... + 92709545.

It is an arithmetic number, because the mean of its divisors is an integer number (63245139552).

Almost surely, 23380174074704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3380174074704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059611164160).

3380174074704 is an abundant number, since it is smaller than the sum of its proper divisors (6739048253616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3380174074704 is a wasteful number, since it uses less digits than its factorization.

3380174074704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40337 (or 40331 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 48.

The spelling of 3380174074704 in words is "three trillion, three hundred eighty billion, one hundred seventy-four million, seventy-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 584 876 1022 1168 1533 1752 2044 3066 3504 3779 4088 6132 7558 8176 11337 12264 15116 22674 24528 26453 30232 36467 45348 52906 60464 72934 79359 90696 105812 109401 145868 158718 181392 211624 218802 255269 275867 291736 317436 423248 437604 510538 551734 583472 634872 765807 827601 875208 1021076 1103468 1269744 1531614 1655202 1750416 1931069 2042152 2206936 2662091 3063228 3310404 3862138 4084304 4413872 5324182 5793207 6126456 6620808 7724276 7986273 10648364 11586414 12252912 13241616 15448552 15972546 18634637 21296728 23172828 30897104 31945092 37269274 42593456 46345656 55903911 63890184 74538548 92691312 111807822 127780368 137808793 149077096 223615644 275617586 298154192 413426379 447231288 551235172 826852758 894462576 964661551 1102470344 1653705516 1929323102 2204940688 2893984653 3307411032 3858646204 5787969306 6614822064 7717292408 10060041889 11575938612 15434584816 20120083778 23151877224 30180125667 40240167556 46303754448 60360251334 70420293223 80480335112 120720502668 140840586446 160960670224 211260879669 241441005336 281681172892 422521759338 482882010672 563362345784 845043518676 1126724691568 1690087037352 3380174074704