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3309828696 = 2333293111699
BaseRepresentation
bin1100010101000111…
…1111101001011000
322112200000201102000
43011101333221120
523234304004241
61304233041000
7145010036226
oct30521775130
98480021360
103309828696
111449348319
12784556160
13409943c25
14235817b16
15145894eb6
hexc547fa58

3309828696 has 128 divisors (see below), whose sum is σ = 9547200000. Its totient is φ = 1061182080.

The previous prime is 3309828629. The next prime is 3309828701. The reversal of 3309828696 is 6968289033.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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, 1947255 + ... + 1948953.

It is an arithmetic number, because the mean of its divisors is an integer number (74587500).

Almost surely, 23309828696 is an apocalyptic number.

3309828696 is a gapful number since it is divisible by the number (36) 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 3309828696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4773600000).

3309828696 is an abundant number, since it is smaller than the sum of its proper divisors (6237371304).

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

3309828696 is a wasteful number, since it uses less digits than its factorization.

3309828696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 3309828696 is about 57531.1106793533. The cubic root of 3309828696 is about 1490.2821704841.

The spelling of 3309828696 in words is "three billion, three hundred nine million, eight hundred twenty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 311 348 522 622 696 783 933 1044 1244 1566 1699 1866 2088 2488 2799 3132 3398 3732 5097 5598 6264 6796 7464 8397 9019 10194 11196 13592 15291 16794 18038 20388 22392 27057 30582 33588 36076 40776 45873 49271 54114 61164 67176 72152 81171 91746 98542 108228 122328 147813 162342 183492 197084 216456 243513 295626 324684 366984 394168 443439 487026 528389 591252 649368 886878 974052 1056778 1182504 1330317 1585167 1773756 1948104 2113556 2660634 3170334 3547512 4227112 4755501 5321268 6340668 9511002 10642536 12681336 14266503 15323281 19022004 28533006 30646562 38044008 45969843 57066012 61293124 91939686 114132024 122586248 137909529 183879372 275819058 367758744 413728587 551638116 827457174 1103276232 1654914348 3309828696