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368303796 = 2232744261
BaseRepresentation
bin10101111100111…
…101111010110100
3221200000202211100
4111330331322310
51223241210141
6100314010100
712061350000
oct2574757264
9850022740
10368303796
11179997103
12a3416930
135b3c4553
1436cb3700
15225020b6
hex15f3deb4

368303796 has 90 divisors (see below), whose sum is σ = 1086345442. Its totient is φ = 105204960.

The previous prime is 368303791. The next prime is 368303821. The reversal of 368303796 is 697303863.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 365192100 + 3111696 = 19110^2 + 1764^2 .

It is a super-2 number, since 2×3683037962 = 271295372296019232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368303791) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 84306 + ... + 88566.

Almost surely, 2368303796 is an apocalyptic number.

368303796 is a gapful number since it is divisible by the number (36) 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 368303796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543172721).

368303796 is an abundant number, since it is smaller than the sum of its proper divisors (718041646).

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

368303796 is a wasteful number, since it uses less digits than its factorization.

368303796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 368303796 is about 19191.2426903523. The cubic root of 368303796 is about 716.8067148215.

The spelling of 368303796 in words is "three hundred sixty-eight million, three hundred three thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 2401 3087 4116 4261 4802 6174 7203 8522 9604 12348 12783 14406 17044 21609 25566 28812 29827 38349 43218 51132 59654 76698 86436 89481 119308 153396 178962 208789 268443 357924 417578 536886 626367 835156 1073772 1252734 1461523 1879101 2505468 2923046 3758202 4384569 5846092 7516404 8769138 10230661 13153707 17538276 20461322 26307414 30691983 40922644 52614828 61383966 92075949 122767932 184151898 368303796