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3400613412 = 22371132391499
BaseRepresentation
bin1100101010110001…
…0011111000100100
322202222212001121220
43022230103320210
523431024112122
61321234540340
7150161510550
oct31254237044
98688761556
103400613412
111495615209
127aaa376b0
134226ac0b1
142438ca860
1514d82925c
hexcab13e24

3400613412 has 96 divisors (see below), whose sum is σ = 9192960000. Its totient is φ = 958336512.

The previous prime is 3400613357. The next prime is 3400613429. The reversal of 3400613412 is 2143160043.

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, 2267839 + ... + 2269337.

It is an arithmetic number, because the mean of its divisors is an integer number (95760000).

Almost surely, 23400613412 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 3400613412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480000).

3400613412 is an abundant number, since it is smaller than the sum of its proper divisors (5792346588).

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

3400613412 is a wasteful number, since it uses less digits than its factorization.

3400613412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3400613412 is about 58314.7786757354. The cubic root of 3400613412 is about 1503.7850206015.

Adding to 3400613412 its reverse (2143160043), we get a palindrome (5543773455).

The spelling of 3400613412 in words is "three billion, four hundred million, six hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 239 339 452 478 678 717 791 956 1356 1434 1499 1582 1673 2373 2868 2998 3164 3346 4497 4746 5019 5996 6692 8994 9492 10038 10493 17988 20076 20986 27007 31479 41972 54014 62958 81021 108028 125916 162042 169387 189049 324084 338774 358261 378098 508161 567147 677548 716522 756196 1016322 1074783 1134294 1185709 1433044 2032644 2149566 2268588 2371418 2507827 3557127 4299132 4742836 5015654 7114254 7523481 10031308 14228508 15046962 30093924 40483493 80966986 121450479 161933972 242900958 283384451 485801916 566768902 850153353 1133537804 1700306706 3400613412