Search a number
-
+
326334508416 = 2732740468069
BaseRepresentation
bin1001011111110110000…
…11010110110110000000
31011012022210221122221200
410233323003112312000
520321313113232131
6405525505021200
732401605360660
oct4577303266600
91135283848850
10326334508416
11116441360244
12532b4924800
1324a08993177
1411b1a8301a0
15874e5db2e6
hex4bfb0d6d80

326334508416 has 96 divisors (see below), whose sum is σ = 1073213216400. Its totient is φ = 93238428672.

The previous prime is 326334508403. The next prime is 326334508429. The reversal of 326334508416 is 614805433623.

326334508416 is a `hidden beast` number, since 3 + 2 + 633 + 4 + 5 + 0 + 8 + 4 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (326334508403) and next prime (326334508429).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3263345084162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 20225971 + ... + 20242098.

Almost surely, 2326334508416 is an apocalyptic number.

326334508416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

326334508416 is an abundant number, since it is smaller than the sum of its proper divisors (746878707984).

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

326334508416 is a wasteful number, since it uses less digits than its factorization.

326334508416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40468096 (or 40468081 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 326334508416 in words is "three hundred twenty-six billion, three hundred thirty-four million, five hundred eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 40468069 80936138 121404207 161872276 242808414 283276483 323744552 364212621 485616828 566552966 647489104 728425242 849829449 971233656 1133105932 1294978208 1456850484 1699658898 1942467312 2266211864 2549488347 2589956416 2913700968 3399317796 3884934624 4532423728 5098976694 5179912832 5827401936 6798635592 7769869248 9064847456 10197953388 11654803872 13597271184 15539738496 18129694912 20395906776 23309607744 27194542368 36259389824 40791813552 46619215488 54389084736 81583627104 108778169472 163167254208 326334508416