Search a number
-
+
33400040370 = 23529107358793
BaseRepresentation
bin11111000110110011…
…000010101110110010
310012012201001211221020
4133012303002232302
51021400402242440
623202130440310
72261453441664
oct370663025662
9105181054836
1033400040370
111318a4a7754
126581733096
1331c39033c8
14188bc26534
15d0738d3d0
hex7c6cc2bb2

33400040370 has 64 divisors (see below), whose sum is σ = 83699464320. Its totient is φ = 8519157248.

The previous prime is 33400040353. The next prime is 33400040381. The reversal of 33400040370 is 7304000433.

It is a super-2 number, since 2×334000403702 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33400040370.

It is an unprimeable number.

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, 86307 + ... + 272486.

It is an arithmetic number, because the mean of its divisors is an integer number (1307804130).

Almost surely, 233400040370 is an apocalyptic number.

33400040370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33400040370 is an abundant number, since it is smaller than the sum of its proper divisors (50299423950).

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

33400040370 is a wasteful number, since it uses less digits than its factorization.

33400040370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358939.

The product of its (nonzero) digits is 3024, while the sum is 24.

The spelling of 33400040370 in words is "thirty-three billion, four hundred million, forty thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 107 145 174 214 290 321 435 535 642 870 1070 1605 3103 3210 6206 9309 15515 18618 31030 46545 93090 358793 717586 1076379 1793965 2152758 3587930 5381895 10404997 10763790 20809994 31214991 38390851 52024985 62429982 76781702 104049970 115172553 156074955 191954255 230345106 312149910 383908510 575862765 1113334679 1151725530 2226669358 3340004037 5566673395 6680008074 11133346790 16700020185 33400040370