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127434330 = 23351924841
BaseRepresentation
bin1111001100001…
…11111001011010
322212210100001000
413212013321122
5230110344310
620351205430
73105113442
oct746077132
9285710030
10127434330
1165a2a331
1236816876
132052aa3a
1412cd3122
15b2c34c0
hex7987e5a

127434330 has 64 divisors (see below), whose sum is σ = 357724800. Its totient is φ = 32192640.

The previous prime is 127434319. The next prime is 127434337. The reversal of 127434330 is 33434721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 127434294 and 127434303.

It is not an unprimeable number, because it can be changed into a prime (127434337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7291 + ... + 17550.

It is an arithmetic number, because the mean of its divisors is an integer number (5589450).

Almost surely, 2127434330 is an apocalyptic number.

127434330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127434330 is an abundant number, since it is smaller than the sum of its proper divisors (230290470).

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

127434330 is a wasteful number, since it uses less digits than its factorization.

127434330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24876 (or 24870 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 127434330 is about 11288.6814996261. The cubic root of 127434330 is about 503.2249282887.

The spelling of 127434330 in words is "one hundred twenty-seven million, four hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 24841 49682 74523 124205 149046 223569 248410 372615 447138 471979 670707 745230 943958 1117845 1341414 1415937 2235690 2359895 2831874 3353535 4247811 4719790 6707070 7079685 8495622 12743433 14159370 21239055 25486866 42478110 63717165 127434330