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3416931312 = 243975031459
BaseRepresentation
bin1100101110101010…
…0011101111110000
322211010120002120120
43023222203233300
523444213300222
61323020410240
7150450302604
oct31352435760
98733502516
103416931312
1114a3850083
127b43a6980
13425ba3562
14245b37504
1514ee9e15c
hexcbaa3bf0

3416931312 has 80 divisors (see below), whose sum is σ = 8941927680. Its totient is φ = 1124222976.

The previous prime is 3416931307. The next prime is 3416931319. The reversal of 3416931312 is 2131396143.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3416931319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2341239 + ... + 2342697.

It is an arithmetic number, because the mean of its divisors is an integer number (111774096).

Almost surely, 23416931312 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 3416931312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470963840).

3416931312 is an abundant number, since it is smaller than the sum of its proper divisors (5524996368).

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

3416931312 is a wasteful number, since it uses less digits than its factorization.

3416931312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2064 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 3416931312 is about 58454.5234519964. The cubic root of 3416931312 is about 1506.1864959895.

The spelling of 3416931312 in words is "three billion, four hundred sixteen million, nine hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 503 582 776 1006 1164 1459 1509 1552 2012 2328 2918 3018 4024 4377 4656 5836 6036 8048 8754 11672 12072 17508 23344 24144 35016 48791 70032 97582 141523 146373 195164 283046 292746 390328 424569 566092 585492 733877 780656 849138 1132184 1170984 1467754 1698276 2201631 2264368 2341968 2935508 3396552 4403262 5871016 6793104 8806524 11742032 17613048 35226096 71186069 142372138 213558207 284744276 427116414 569488552 854232828 1138977104 1708465656 3416931312