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354897396 = 223372199337
BaseRepresentation
bin10101001001110…
…100110111110100
3220201210122201000
4111021310313310
51211323204041
655114403300
711536402200
oct2511646764
9821718630
10354897396
1117236a737
129aa30530
13586ac379
14351c3b00
1521254bb6
hex15274df4

354897396 has 144 divisors (see below), whose sum is σ = 1078896000. Its totient is φ = 100590336.

The previous prime is 354897391. The next prime is 354897397. The reversal of 354897396 is 693798453.

354897396 is a `hidden beast` number, since 3 + 5 + 489 + 73 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354897391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1052940 + ... + 1053276.

Almost surely, 2354897396 is an apocalyptic number.

354897396 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354897396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539448000).

354897396 is an abundant number, since it is smaller than the sum of its proper divisors (723998604).

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

354897396 is a wasteful number, since it uses less digits than its factorization.

354897396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 548 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 354897396 is about 18838.7206571996. The cubic root of 354897396 is about 708.0016518203.

The spelling of 354897396 in words is "three hundred fifty-four million, eight hundred ninety-seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 199 252 294 337 378 398 441 588 597 674 756 796 882 1011 1194 1323 1348 1393 1764 1791 2022 2359 2388 2646 2786 3033 3582 4044 4179 4718 5292 5373 5572 6066 7077 7164 8358 9099 9436 9751 10746 12132 12537 14154 16513 16716 18198 19502 21231 21492 25074 28308 29253 33026 36396 37611 39004 42462 49539 50148 58506 63693 66052 67063 75222 84924 87759 99078 117012 127386 134126 148617 150444 175518 198156 201189 254772 263277 268252 297234 351036 402378 445851 469441 526554 594468 603567 804756 891702 938882 1053108 1207134 1408323 1783404 1810701 1877764 2414268 2816646 3286087 3621402 4224969 5633292 6572174 7242804 8449938 9858261 12674907 13144348 16899876 19716522 25349814 29574783 39433044 50699628 59149566 88724349 118299132 177448698 354897396