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3420502596 = 2232743479659
BaseRepresentation
bin1100101111100000…
…1011101001000100
322211101021112110100
43023320023221010
524001122040341
61323225124100
7150522535530
oct31370135104
98741245410
103420502596
1114a586a255
127b5629630
13426853c44
142463c6bc0
151504573b6
hexcbe0ba44

3420502596 has 144 divisors (see below), whose sum is σ = 10147737600. Its totient is φ = 951120576.

The previous prime is 3420502549. The next prime is 3420502601. The reversal of 3420502596 is 6952050243.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3420502596.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5190115 + ... + 5190773.

It is an arithmetic number, because the mean of its divisors is an integer number (70470400).

Almost surely, 23420502596 is an apocalyptic number.

3420502596 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420502596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073868800).

3420502596 is an abundant number, since it is smaller than the sum of its proper divisors (6727235004).

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

3420502596 is a wasteful number, since it uses less digits than its factorization.

3420502596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3420502596 is about 58485.0630161240. The cubic root of 3420502596 is about 1506.7110550484.

The spelling of 3420502596 in words is "three billion, four hundred twenty million, five hundred two thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 479 516 602 659 774 903 958 1204 1318 1437 1548 1806 1916 1977 2636 2709 2874 3353 3612 3954 4311 4613 5418 5748 5931 6706 7908 8622 9226 10059 10836 11862 13412 13839 17244 18452 20118 20597 23724 27678 28337 30177 40236 41194 41517 55356 56674 60354 61791 82388 83034 85011 113348 120708 123582 144179 166068 170022 185373 198359 247164 255033 288358 315661 340044 370746 396718 432537 510066 576716 595077 631322 741492 793436 865074 946983 1020132 1190154 1262644 1297611 1730148 1785231 1893966 2209627 2380308 2595222 2840949 3570462 3787932 4419254 5190444 5681898 6628881 7140924 8838508 11363796 13257762 13573423 19886643 26515524 27146846 39773286 40720269 54293692 79546572 81440538 95013961 122160807 162881076 190027922 244321614 285041883 380055844 488643228 570083766 855125649 1140167532 1710251298 3420502596