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4342976196 = 22313217235477
BaseRepresentation
bin1000000101101110…
…01000111011000100
3102012200002001100020
410002313020323010
532343300214241
61554541015140
7212423455116
oct40267107304
912180061306
104342976196
111929551329
12a125544b0
135429b8900
142d2b133b6
151a6422b66
hex102dc8ec4

4342976196 has 144 divisors (see below), whose sum is σ = 12125925504. Its totient is φ = 1202792448.

The previous prime is 4342976189. The next prime is 4342976207. The reversal of 4342976196 is 6916792434.

It is a happy number.

It is a super-2 number, since 2×43429761962 = 37722884478045260832, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 790210 + ... + 795686.

It is an arithmetic number, because the mean of its divisors is an integer number (84207816).

Almost surely, 24342976196 is an apocalyptic number.

4342976196 is a gapful number since it is divisible by the number (46) 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 4342976196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6062962752).

4342976196 is an abundant number, since it is smaller than the sum of its proper divisors (7782949308).

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

4342976196 is a wasteful number, since it uses less digits than its factorization.

4342976196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5550 (or 5535 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The square root of 4342976196 is about 65901.2609591046. The cubic root of 4342976196 is about 1631.5328268608.

The spelling of 4342976196 in words is "four billion, three hundred forty-two million, nine hundred seventy-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 17 23 26 34 39 46 51 52 68 69 78 92 102 138 156 169 204 221 276 299 338 391 442 507 598 663 676 782 884 897 1014 1173 1196 1326 1564 1794 2028 2346 2652 2873 3588 3887 4692 5083 5477 5746 7774 8619 10166 10954 11492 11661 15249 15548 16431 17238 20332 21908 23322 30498 32862 34476 46644 60996 65724 66079 71201 93109 125971 132158 142402 186218 198237 213603 251942 264316 279327 284804 372436 377913 396474 427206 503884 558654 755826 792948 854412 925613 1117308 1210417 1511652 1637623 1851226 2141507 2420834 2776839 3275246 3631251 3702452 4283014 4841668 4912869 5553678 6424521 6550492 7262502 8566028 9825738 11107356 12849042 14525004 15735421 19651476 21289099 25698084 27839591 31470842 42578198 47206263 55679182 62941684 63867297 83518773 85156396 94412526 111358364 127734594 167037546 188825052 255469188 334075092 361914683 723829366 1085744049 1447658732 2171488098 4342976196