Search a number
-
+
339637190656 = 2142921572
BaseRepresentation
bin1001111000100111111…
…01000100000000000000
31012110122220021221101111
410330103331010000000
521031034110100111
6420005511413104
733352345326061
oct4742375040000
91173586257344
10339637190656
11121048381305
12559a7984194
132604899178a
141261d46a568
158c7c3cba21
hex4f13f44000

339637190656 has 135 divisors (see below), whose sum is σ = 707993193999. Its totient is φ = 162918432768.

The previous prime is 339637190623. The next prime is 339637190663. The reversal of 339637190656 is 656091736933.

The square root of 339637190656 is 582784.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11977113600 + 327660077056 = 109440^2 + 572416^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 339637190656.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2163294130 + ... + 2163294286.

Almost surely, 2339637190656 is an apocalyptic number.

339637190656 is the 582784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339637190656

339637190656 is an abundant number, since it is smaller than the sum of its proper divisors (368356003343).

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

339637190656 is an frugal number, since it uses more digits than its factorization.

339637190656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 58.

The spelling of 339637190656 in words is "three hundred thirty-nine billion, six hundred thirty-seven million, one hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 157 232 256 314 464 512 628 841 928 1024 1256 1682 1856 2048 2512 3364 3712 4096 4553 5024 6728 7424 8192 9106 10048 13456 14848 16384 18212 20096 24649 26912 29696 36424 40192 49298 53824 59392 72848 80384 98596 107648 118784 132037 145696 160768 197192 215296 237568 264074 291392 321536 394384 430592 475136 528148 582784 643072 714821 788768 861184 1056296 1165568 1286144 1429642 1577536 1722368 2112592 2331136 2572288 2859284 3155072 3444736 4225184 4662272 5718568 6310144 6889472 8450368 9324544 11437136 12620288 13778944 16900736 18649088 20729809 22874272 25240576 33801472 37298176 41459618 45748544 50481152 67602944 74596352 82919236 91497088 100962304 135205888 165838472 182994176 201924608 270411776 331676944 365988352 403849216 540823552 663353888 731976704 1081647104 1326707776 1463953408 2163294208 2653415552 2927906816 5306831104 5855813632 10613662208 11711627264 21227324416 42454648832 84909297664 169818595328 339637190656