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3436125376 = 2619414
BaseRepresentation
bin1100110011001111…
…0001110011000000
322212110200020212211
43030303301303000
524014122003001
61324544031504
7151102404145
oct31463616300
98773606784
103436125376
11150366a942
127ba902594
13429b63ba8
142484d23cc
151519e1351
hexcccf1cc0

3436125376 has 70 divisors (see below), whose sum is σ = 7356868700. Its totient is φ = 1587939840.

The previous prime is 3436125373. The next prime is 3436125379. The reversal of 3436125376 is 6735216343.

It is an interprime number because it is at equal distance from previous prime (3436125373) and next prime (3436125379).

It is a super-2 number, since 2×34361253762 = 23613915199182282752, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3436125373) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 83807916 + ... + 83807956.

Almost surely, 23436125376 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 3436125376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678434350).

3436125376 is an abundant number, since it is smaller than the sum of its proper divisors (3920743324).

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

3436125376 is an frugal number, since it uses more digits than its factorization.

3436125376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 62 counting only the distinct ones).

The product of its digits is 272160, while the sum is 40.

The square root of 3436125376 is about 58618.4729927350. The cubic root of 3436125376 is about 1509.0014853797.

The spelling of 3436125376 in words is "three billion, four hundred thirty-six million, one hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 152 164 304 328 608 656 779 1216 1312 1558 1681 2624 3116 3362 6232 6724 12464 13448 24928 26896 31939 49856 53792 63878 68921 107584 127756 137842 255512 275684 511024 551368 1022048 1102736 1309499 2044096 2205472 2618998 2825761 4410944 5237996 5651522 10475992 11303044 20951984 22606088 41903968 45212176 53689459 83807936 90424352 107378918 180848704 214757836 429515672 859031344 1718062688 3436125376