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34961240 = 2352930139
BaseRepresentation
bin1000010101011…
…1011101011000
32102210012210202
42011113131120
532422224430
63245201332
7603110546
oct205273530
972705722
1034961240
1118809996
12b860248
137321232
144900d96
153108d45
hex2157758

34961240 has 32 divisors (see below), whose sum is σ = 81378000. Its totient is φ = 13501824.

The previous prime is 34961237. The next prime is 34961261. The reversal of 34961240 is 4216943.

34961240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13910 + ... + 16229.

Almost surely, 234961240 is an apocalyptic number.

It is an amenable number.

34961240 is an abundant number, since it is smaller than the sum of its proper divisors (46416760).

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

34961240 is a wasteful number, since it uses less digits than its factorization.

34961240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30179 (or 30175 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 34961240 is about 5912.8030577722. The cubic root of 34961240 is about 326.9858373414.

It can be divided in two parts, 3496 and 1240, that multiplied together give a triangular number (4335040 = T2944).

The spelling of 34961240 in words is "thirty-four million, nine hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 30139 60278 120556 150695 241112 301390 602780 874031 1205560 1748062 3496124 4370155 6992248 8740310 17480620 34961240