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34674240 = 2635191901
BaseRepresentation
bin1000010001000…
…1011001000000
32102020122010010
42010101121000
532334033430
63235104520
7600504036
oct204213100
972218103
1034674240
11186332a7
12b742140
137250703
144868556
15309dcb0
hex2111640

34674240 has 112 divisors (see below), whose sum is σ = 115945920. Its totient is φ = 8755200.

The previous prime is 34674223. The next prime is 34674251. The reversal of 34674240 is 4247643.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34674198 and 34674207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17290 + ... + 19190.

Almost surely, 234674240 is an apocalyptic number.

34674240 is a gapful number since it is divisible by the number (30) 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 34674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57972960).

34674240 is an abundant number, since it is smaller than the sum of its proper divisors (81271680).

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

34674240 is a wasteful number, since it uses less digits than its factorization.

34674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 34674240 is about 5888.4836757862. The cubic root of 34674240 is about 326.0886255837.

The spelling of 34674240 in words is "thirty-four million, six hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 1901 2280 3040 3648 3802 4560 5703 6080 7604 9120 9505 11406 15208 18240 19010 22812 28515 30416 36119 38020 45624 57030 60832 72238 76040 91248 108357 114060 121664 144476 152080 180595 182496 216714 228120 288952 304160 361190 364992 433428 456240 541785 577904 608320 722380 866856 912480 1083570 1155808 1444760 1733712 1824960 2167140 2311616 2889520 3467424 4334280 5779040 6934848 8668560 11558080 17337120 34674240