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3412104024 = 233725215569
BaseRepresentation
bin1100101101100000…
…1001001101011000
322210210110211210010
43023120021031120
523441444312044
61322325121520
7150361256100
oct31330111530
98723424703
103412104024
1114a105328a
127b28592a0
13424ba3284
1424523c200
1514e848bb9
hexcb609358

3412104024 has 96 divisors (see below), whose sum is σ = 9943786800. Its totient is φ = 972840960.

The previous prime is 3412103977. The next prime is 3412104049. The reversal of 3412104024 is 4204012143.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609912 + ... + 615480.

Almost surely, 23412104024 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 3412104024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4971893400).

3412104024 is an abundant number, since it is smaller than the sum of its proper divisors (6531682776).

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

3412104024 is a wasteful number, since it uses less digits than its factorization.

3412104024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6113 (or 6102 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3412104024 is about 58413.2178877350. The cubic root of 3412104024 is about 1505.4768706975.

Adding to 3412104024 its reverse (4204012143), we get a palindrome (7616116167).

The spelling of 3412104024 in words is "three billion, four hundred twelve million, one hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 521 588 1042 1176 1563 2084 3126 3647 4168 5569 6252 7294 10941 11138 12504 14588 16707 21882 22276 25529 29176 33414 38983 43764 44552 51058 66828 76587 77966 87528 102116 116949 133656 153174 155932 204232 233898 272881 306348 311864 467796 545762 612696 818643 935592 1091524 1637286 2183048 2901449 3274572 5802898 6549144 8704347 11605796 17408694 20310143 23211592 34817388 40620286 60930429 69634776 81240572 121860858 142171001 162481144 243721716 284342002 426513003 487443432 568684004 853026006 1137368008 1706052012 3412104024