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354937140 = 22345219097
BaseRepresentation
bin10101001001111…
…110100100110100
3220201212200020000
4111021332210310
51211330442030
655115311300
711536626105
oct2511764464
9821780200
10354937140
11172397588
129aa4b530
13586c449c
14351d43ac
1521261860
hex1527e934

354937140 has 60 divisors (see below), whose sum is σ = 1113456036. Its totient is φ = 94649472.

The previous prime is 354937117. The next prime is 354937159. The reversal of 354937140 is 41739453.

354937140 is a `hidden beast` number, since 3 + 549 + 3 + 71 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115863696 + 239073444 = 10764^2 + 15462^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 354937095 and 354937104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 107929 + ... + 111168.

Almost surely, 2354937140 is an apocalyptic number.

354937140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354937140 is an abundant number, since it is smaller than the sum of its proper divisors (758518896).

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

354937140 is a wasteful number, since it uses less digits than its factorization.

354937140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219118 (or 219107 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 354937140 is about 18839.7754763691. The cubic root of 354937140 is about 708.0280798975.

The spelling of 354937140 in words is "three hundred fifty-four million, nine hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 219097 438194 657291 876388 1095485 1314582 1971873 2190970 2629164 3286455 3943746 4381940 5915619 6572910 7887492 9859365 11831238 13145820 17746857 19718730 23662476 29578095 35493714 39437460 59156190 70987428 88734285 118312380 177468570 354937140