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3352827480 = 2335415231303
BaseRepresentation
bin1100011111011000…
…0001011001011000
322122122221021122120
43013312001121120
523331310434410
61312410421240
7146041364142
oct30766013130
98578837576
103352827480
111470646a02
12796a31820
1341581a6b2
1423b40bc92
1514953a570
hexc7d81658

3352827480 has 128 divisors (see below), whose sum is σ = 10331435520. Its totient is φ = 869944320.

The previous prime is 3352827463. The next prime is 3352827487. The reversal of 3352827480 is 847282533.

It is a super-2 number, since 2×33528274802 = 22482904221286300800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3352827487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2572509 + ... + 2573811.

It is an arithmetic number, because the mean of its divisors is an integer number (80714340).

Almost surely, 23352827480 is an apocalyptic number.

3352827480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3352827480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5165717760).

3352827480 is an abundant number, since it is smaller than the sum of its proper divisors (6978608040).

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

3352827480 is a wasteful number, since it uses less digits than its factorization.

3352827480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 3352827480 is about 57903.6050691147. The cubic root of 3352827480 is about 1496.7079625005.

The spelling of 3352827480 in words is "three billion, three hundred fifty-two million, eight hundred twenty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 523 615 820 984 1046 1230 1303 1569 1640 2092 2460 2606 2615 3138 3909 4184 4920 5212 5230 6276 6515 7818 7845 10424 10460 12552 13030 15636 15690 19545 20920 21443 26060 31272 31380 39090 42886 52120 53423 62760 64329 78180 85772 106846 107215 128658 156360 160269 171544 213692 214430 257316 267115 320538 321645 427384 428860 514632 534230 641076 643290 681469 801345 857720 1068460 1282152 1286580 1362938 1602690 2044407 2136920 2573160 2725876 3205380 3407345 4088814 5451752 6410760 6814690 8177628 10222035 13629380 16355256 20444070 27258760 27940229 40888140 55880458 81776280 83820687 111760916 139701145 167641374 223521832 279402290 335282748 419103435 558804580 670565496 838206870 1117609160 1676413740 3352827480