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427754034 = 234171271223
BaseRepresentation
bin11001011111110…
…000001000110010
31002210220011020000
4121133300020302
51334001112114
6110240130430
713412564211
oct3137601062
91083804200
10427754034
111aa501a34
12bb306a16
136a80b1c6
1440b4b078
1527846e09
hex197f0232

427754034 has 80 divisors (see below), whose sum is σ = 1023694848. Its totient is φ = 133031808.

The previous prime is 427754009. The next prime is 427754059. The reversal of 427754034 is 430457724.

427754034 is a `hidden beast` number, since 42 + 77 + 540 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (427754009) and next prime (427754059).

It is a self number, because there is not a number n which added to its sum of digits gives 427754034.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 349147 + ... + 350369.

Almost surely, 2427754034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427754034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511847424).

427754034 is an abundant number, since it is smaller than the sum of its proper divisors (595940814).

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

427754034 is a wasteful number, since it uses less digits than its factorization.

427754034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 427754034 is about 20682.2154035780. The cubic root of 427754034 is about 753.4678129846.

It can be divided in two parts, 4277 and 54034, that added together give a triangular number (58311 = T341).

The spelling of 427754034 in words is "four hundred twenty-seven million, seven hundred fifty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 127 153 162 254 306 381 459 762 918 1143 1223 1377 2159 2286 2446 2754 3429 3669 4318 6477 6858 7338 10287 11007 12954 19431 20574 20791 22014 33021 38862 41582 58293 62373 66042 99063 116586 124746 155321 174879 187119 198126 310642 349758 374238 465963 561357 931926 1122714 1397889 1684071 2640457 2795778 3368142 4193667 5280914 7921371 8387334 12581001 15842742 23764113 25162002 47528226 71292339 142584678 213877017 427754034