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451341940 = 225724147239
BaseRepresentation
bin11010111001101…
…110111001110100
31011110021112202011
4122321232321310
51411020420230
6112441454004
714120225500
oct3271567164
91143245664
10451341940
11211852975
121071a1304
137267974a
1443d2b300
1529955e2a
hex1ae6ee74

451341940 has 144 divisors (see below), whose sum is σ = 1158312960. Its totient is φ = 147141120.

The previous prime is 451341937. The next prime is 451341953. The reversal of 451341940 is 49143154.

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, 1888341 + ... + 1888579.

It is an arithmetic number, because the mean of its divisors is an integer number (8043840).

Almost surely, 2451341940 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 451341940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579156480).

451341940 is an abundant number, since it is smaller than the sum of its proper divisors (706971020).

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

451341940 is a wasteful number, since it uses less digits than its factorization.

451341940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 451341940 is about 21244.8097190820. The cubic root of 451341940 is about 767.0704107403.

It can be divided in two parts, 45134 and 1940, that added together give a palindrome (47074).

The spelling of 451341940 in words is "four hundred fifty-one million, three hundred forty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 47 49 70 82 94 98 140 164 188 196 205 235 239 245 287 329 410 470 478 490 574 658 820 940 956 980 1148 1195 1316 1435 1645 1673 1927 2009 2303 2390 2870 3290 3346 3854 4018 4606 4780 5740 6580 6692 7708 8036 8365 9212 9635 9799 10045 11233 11515 11711 13489 16730 19270 19598 20090 22466 23030 23422 26978 33460 38540 39196 40180 44932 46060 46844 48995 53956 56165 58555 67445 68593 78631 94423 97990 112330 117110 134890 137186 157262 188846 195980 224660 234220 269780 274372 314524 342965 377692 393155 460553 472115 480151 550417 685930 786310 921106 944230 960302 1100834 1371860 1572620 1842212 1888460 1920604 2201668 2302765 2400755 2752085 3223871 4605530 4801510 5504170 6447742 9211060 9603020 11008340 12895484 16119355 22567097 32238710 45134194 64477420 90268388 112835485 225670970 451341940