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3380565624 = 2333197139337
BaseRepresentation
bin1100100101111111…
…0101011001111000
322201121010112020020
43021133311121320
523410411044444
61315241130440
7146526222312
oct31137653170
98647115206
103380565624
111485271a97
127a4189a20
1341b4accb7
14240d8c7b2
1514bbb9119
hexc97f5678

3380565624 has 128 divisors (see below), whose sum is σ = 8903731200. Its totient is φ = 1068318720.

The previous prime is 3380565623. The next prime is 3380565637. The reversal of 3380565624 is 4265650833.

It is a super-2 number, since 2×33805656242 = 22856447876341018752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380565623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10031184 + ... + 10031520.

It is an arithmetic number, because the mean of its divisors is an integer number (69560400).

Almost surely, 23380565624 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 3380565624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451865600).

3380565624 is an abundant number, since it is smaller than the sum of its proper divisors (5523165576).

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

3380565624 is a wasteful number, since it uses less digits than its factorization.

3380565624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 3380565624 is about 58142.6317257828. The cubic root of 3380565624 is about 1500.8240840629.

The spelling of 3380565624 in words is "three billion, three hundred eighty million, five hundred sixty-five thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 97 124 139 186 194 248 278 291 337 372 388 417 556 582 674 744 776 834 1011 1112 1164 1348 1668 2022 2328 2696 3007 3336 4044 4309 6014 8088 8618 9021 10447 12028 12927 13483 17236 18042 20894 24056 25854 26966 31341 32689 34472 36084 40449 41788 46843 51708 53932 62682 65378 72168 80898 83576 93686 98067 103416 107864 125364 130756 140529 161796 187372 196134 250728 261512 281058 323592 374744 392268 417973 562116 784536 835946 1013359 1124232 1253919 1452133 1671892 2026718 2507838 2904266 3040077 3343784 4053436 4356399 4543771 5015676 5808532 6080154 8106872 8712798 9087542 10031352 11617064 12160308 13631313 17425596 18175084 24320616 27262626 34851192 36350168 54525252 109050504 140856901 281713802 422570703 563427604 845141406 1126855208 1690282812 3380565624