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3402375372 = 223211192319661
BaseRepresentation
bin1100101011001100…
…0010000011001100
322210010011120120200
43022303002003030
523432002002442
61321340413500
7150212466504
oct31263020314
98703146520
103402375372
111496608a80
127ab547290
13422b78086
14243c28a04
1514da7634c
hexcacc20cc

3402375372 has 144 divisors (see below), whose sum is σ = 10306033920. Its totient is φ = 934243200.

The previous prime is 3402375341. The next prime is 3402375437. The reversal of 3402375372 is 2735732043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163222 + ... + 182882.

It is an arithmetic number, because the mean of its divisors is an integer number (71569680).

Almost surely, 23402375372 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 3402375372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5153016960).

3402375372 is an abundant number, since it is smaller than the sum of its proper divisors (6903658548).

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

3402375372 is a wasteful number, since it uses less digits than its factorization.

3402375372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19724 (or 19719 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 36.

The square root of 3402375372 is about 58329.8840389727. The cubic root of 3402375372 is about 1504.0446944948.

The spelling of 3402375372 in words is "three billion, four hundred two million, three hundred seventy-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 23 33 36 38 44 46 57 66 69 76 92 99 114 132 138 171 198 207 209 228 253 276 342 396 414 418 437 506 627 684 759 828 836 874 1012 1254 1311 1518 1748 1881 2277 2508 2622 3036 3762 3933 4554 4807 5244 7524 7866 9108 9614 14421 15732 19228 19661 28842 39322 43263 57684 58983 78644 86526 117966 173052 176949 216271 235932 353898 373559 432542 452203 648813 707796 747118 865084 904406 1120677 1297626 1356609 1494236 1808812 1946439 2241354 2595252 2713218 3362031 3892878 4069827 4109149 4482708 4974233 5426436 6724062 7785756 8139654 8218298 8591857 9948466 12327447 13448124 14922699 16279308 16436596 17183714 19896932 24654894 25775571 29845398 34367428 36982341 44768097 49309788 51551142 59690796 73964682 77326713 89536194 94510427 103102284 147929364 154653426 179072388 189020854 283531281 309306852 378041708 567062562 850593843 1134125124 1701187686 3402375372