Search a number
-
+
368421516 = 223210339907
BaseRepresentation
bin10101111101011…
…010101010001100
3221200020202022100
4111331122222030
51223303442031
6100320315100
712062350131
oct2575325214
9850222270
10368421516
11179a675a1
12a3472a90
135b435cc8
1436d04588
1522526de6
hex15f5aa8c

368421516 has 36 divisors (see below), whose sum is σ = 932283352. Its totient is φ = 122675904.

The previous prime is 368421499. The next prime is 368421551. The reversal of 368421516 is 615124863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×3684215163 (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32235 + ... + 42141.

Almost surely, 2368421516 is an apocalyptic number.

368421516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

368421516 is an abundant number, since it is smaller than the sum of its proper divisors (563861836).

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

368421516 is a wasteful number, since it uses less digits than its factorization.

368421516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10950 (or 10945 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 368421516 is about 19194.3094692151. The cubic root of 368421516 is about 716.8830770517.

It can be divided in two parts, 3684 and 21516, that added together give a triangular number (25200 = T224).

The spelling of 368421516 in words is "three hundred sixty-eight million, four hundred twenty-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 1033 2066 3099 4132 6198 9297 9907 12396 18594 19814 29721 37188 39628 59442 89163 118884 178326 356652 10233931 20467862 30701793 40935724 61403586 92105379 122807172 184210758 368421516