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3354442520 = 23511131394219
BaseRepresentation
bin1100011111110000…
…1011101100011000
322122202222100001212
43013330023230120
523332214130040
61312505202252
7146061201542
oct30774135430
98582870055
103354442520
11147154a350
12797490388
13415c64840
1423b70c692
15149758d65
hexc7f0bb18

3354442520 has 128 divisors (see below), whose sum is σ = 8932896000. Its totient is φ = 1117601280.

The previous prime is 3354442477. The next prime is 3354442523. The reversal of 3354442520 is 252444533.

It is a super-2 number, since 2×33544425202 = 22504569239967900800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3354442523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 792971 + ... + 797189.

It is an arithmetic number, because the mean of its divisors is an integer number (69788250).

Almost surely, 23354442520 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 3354442520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466448000).

3354442520 is an abundant number, since it is smaller than the sum of its proper divisors (5578453480).

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

3354442520 is a wasteful number, since it uses less digits than its factorization.

3354442520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4393 (or 4389 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The square root of 3354442520 is about 57917.5493266074. The cubic root of 3354442520 is about 1496.9482428034.

The spelling of 3354442520 in words is "three billion, three hundred fifty-four million, four hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 139 143 220 260 278 286 440 520 556 572 695 715 1112 1144 1390 1430 1529 1807 2780 2860 3058 3614 4219 5560 5720 6116 7228 7645 8438 9035 12232 14456 15290 16876 18070 19877 21095 30580 33752 36140 39754 42190 46409 54847 61160 72280 79508 84380 92818 99385 109694 159016 168760 185636 198770 219388 232045 274235 371272 397540 438776 464090 548470 586441 603317 795080 928180 1096940 1172882 1206634 1856360 2193880 2345764 2413268 2932205 3016585 4691528 4826536 5864410 6033170 6450851 7623733 11728820 12066340 12901702 15247466 23457640 24132680 25803404 30494932 32254255 38118665 51606808 60989864 64508510 76237330 83861063 129017020 152474660 167722126 258034040 304949320 335444252 419305315 670888504 838610630 1677221260 3354442520