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3426104832 = 29313117027
BaseRepresentation
bin1100110000110110…
…0011011000000000
322211202211011021120
43030031203120000
524004040323312
61323545152240
7150621260553
oct31415433000
98752734246
103426104832
1114a8a462a7
127b748b680
13427a65b87
1424704469a
15150bb228c
hexcc363600

3426104832 has 80 divisors (see below), whose sum is σ = 9197572032. Its totient is φ = 1133250560.

The previous prime is 3426104819. The next prime is 3426104837. The reversal of 3426104832 is 2384016243.

It is a junction number, because it is equal to n+sod(n) for n = 3426104793 and 3426104802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3426104837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192703 + ... + 209729.

Almost surely, 23426104832 is an apocalyptic number.

3426104832 is a gapful number since it is divisible by the number (32) 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 3426104832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598786016).

3426104832 is an abundant number, since it is smaller than the sum of its proper divisors (5771467200).

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

3426104832 is a wasteful number, since it uses less digits than its factorization.

3426104832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17179 (or 17163 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 3426104832 is about 58532.9380092952. The cubic root of 3426104832 is about 1507.5331902519.

The spelling of 3426104832 in words is "three billion, four hundred twenty-six million, one hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 256 262 384 393 512 524 768 786 1048 1536 1572 2096 3144 4192 6288 8384 12576 16768 17027 25152 33536 34054 50304 51081 67072 68108 100608 102162 136216 201216 204324 272432 408648 544864 817296 1089728 1634592 2179456 2230537 3269184 4358912 4461074 6538368 6691611 8717824 8922148 13076736 13383222 17844296 26153472 26766444 35688592 53532888 71377184 107065776 142754368 214131552 285508736 428263104 571017472 856526208 1142034944 1713052416 3426104832