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374132052 = 22327341739
BaseRepresentation
bin10110010011001…
…100110101010100
3222001222212200200
4112103030311110
51231234211202
6101042540500
712162033000
oct2623146524
9861885620
10374132052
11182207a48
12a5367730
135c685318
143798d700
1522ca3e1c
hex164ccd54

374132052 has 144 divisors (see below), whose sum is σ = 1131312000. Its totient is φ = 104146560.

The previous prime is 374132047. The next prime is 374132063. The reversal of 374132052 is 250231473.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505899 + ... + 506637.

Almost surely, 2374132052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374132052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565656000).

374132052 is an abundant number, since it is smaller than the sum of its proper divisors (757179948).

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

374132052 is a wasteful number, since it uses less digits than its factorization.

374132052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 374132052 is about 19342.4934276840. The cubic root of 374132052 is about 720.5680008660.

The spelling of 374132052 in words is "three hundred seventy-four million, one hundred thirty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 49 63 82 84 98 123 126 147 164 196 246 252 287 294 343 369 441 492 574 588 686 738 739 861 882 1029 1148 1372 1476 1478 1722 1764 2009 2058 2217 2583 2956 3087 3444 4018 4116 4434 5166 5173 6027 6174 6651 8036 8868 10332 10346 12054 12348 13302 14063 15519 18081 20692 24108 26604 28126 30299 31038 36162 36211 42189 46557 56252 60598 62076 72324 72422 84378 90897 93114 108633 121196 126567 144844 168756 181794 186228 212093 217266 253134 253477 272691 325899 363588 424186 434532 506268 506954 545382 636279 651798 760431 848372 1013908 1090764 1272558 1303596 1484651 1520862 1908837 2281293 2545116 2969302 3041724 3817674 4453953 4562586 5938604 7635348 8907906 9125172 10392557 13361859 17815812 20785114 26723718 31177671 41570228 53447436 62355342 93533013 124710684 187066026 374132052